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1. Factor the following polynomial y = 3x4 - 22x3 + 31x2 + 40x -16
2. Find the real solutions of y = x3 + 8x2 + 1 lx - 20
3. Solve the equation in the complex number system. 10x2 + 6x +1= 0
4. Form a polynomial with real coefficients having the given degree and zeros. Degree: 5 Zeros: 1, multiplicity 3; 1 + i
5. Find the complex zeros of the polynomial function f (x) = x4 + 13x2 + 36
Explain how multiplying and dividing rational expressions is similar to multiplication and division of fractions. Give an example of each and compare the process.
Solve the following quadratic equations
Find the quotient. Be sure to use the long division method, but do not use the factoring method. Show Work.
Please solve in lowest terms with parenthesis if necessary:
every year it seems as though last seasons baseball rookie of the year fails to live up to expectations for his
A. Complete the following graphs:1. Graph the following values on a single number line.• Value 1: 1• Value 2: 0
Suppose K is a Galois extension of F of degree p^n for some prime p and some n >= 1. Show that there are Galois extensions of F contained in K of degree p and p^(n-1).
The width of a rectangular playground is (2x - 5) feet, and the length is (3x - 9) feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet.
Find and label the vertex and the line of symmetry. Graph the function. F(x)= 3(x-2)2 . Find and label the vertex and the line of symmetry. Graph the function f(x)=4x2
Solve the system of linear equations by the substitution method. Then, state whether the system is independent, dependent, or inconsistent.
What is the area of the square
Linear programming concepts.
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